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Finding the Third Proportional to 60,378 and 132,420

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Solution

The third proportional to 60,378 and 132,420 is: 290,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,378 : 132,420 = 132,420 : x
  2. Step 2: Convert to fraction form
    60,378/132,420 = 132,420/x
  3. Step 3: Cross multiply
    60,378x = 132,420 × 132,420
  4. Step 4: Simplify right side
    60,378x = 17,535,056,400
  5. Step 5: Solve for x
    x = 17,535,056,400/60,378
  6. Step 6: Final answer
    x = 290,421.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.